摘要
本文提出了借Newmark法建立传递矩阵,然后用Prohl法求非线性转子-支承系统的瞬态响应及分析稳定性的方法.这方法综合了Prohl法和Newmark法的优点.此外为克服Prohl法的缺点-数值不稳定,传递向量采用了■,而不是传统的■.文中实例计算了装有挤压油膜阻尼器的单转子和双转子-支承系统的瞬态响应,其结果与Runge-Kutta法的结果相吻合.
This paper extends the Prohl transfer matrix method(PTMM)to the transient analysis of nonlinear rotor-bearing systems,in which,firstly the transfer matrix is obtained with the aid of the Newmark βformulation(NBF),secondly the deflections and velocities of the stations containing monlinear element are predicted by Taylor series,finally the deflections,velocities and accelerations of all stations are solved by PTMM and NBF according to the boundary conditions.In order to eliminate the numerial instability of PTMM,the transfer vector■ is used,instead of the traditional one ■.Containing the advantages of PTMM and NBF,the method can be applied to calculate the transient response of large complex nonlinear rotor-bearing systems,and to analyze its stability.Two examples are given,and the tesults agree well with those from the Runge-Kutta method.
出处
《振动工程学报》
EI
CSCD
1990年第3期82-91,共10页
Journal of Vibration Engineering
关键词
传递矩阵
Prohl法
NEWMARK法
Prohl transfer matrix method
Newmark βformulation
numerical stability
transient resPonse
nonlinear rotor systems
